A sequence of routines is given which apply the "deflation" operator to a finite collection of Penrose Kite and Dart tiles. This procedure allows complicated tilings to ...

The package AmmannTiling.m generates nice planar graphics of two types of Ammann aperiodic tilings. One of the aperiodic tilings is with rhombi and squares, the other one is ...

Four Programs for calculating Dr. Richard Kenyon's method for plane tilings from Perron numbers by substitutions. The construction of self-similar tilings , Geom. and Func. ...

The Graphics Gallery picture "Hyperbolic Tiling of the Poincare Disk" (by I. Rivin) shows a tiling by infinite triangles such that for adjacent triangles ABC and BCD, AD is ...

We describe a package of Mathematica programs, originally devised for summer schools on aperiodic order and quasicrystals, which give an introduction to the construction of ...

The generalization of Penrose tilings by two rhombs, is a tiling by zonogons (paralled-sided, centrally-symmetrical polygons), in which rhombs, hexagons, octagons, decagons ...

Tess is a package for generation and drawing of Archimedean (including regular and uniform) tessellations in Euclidean (E2), Elliptic (S2 - polyhedra), and Lobachevskian (L2, ...

Our purpose in this work is to fill the interior of an arbitrary polygon with circles in a systematic way. This process necessarily involves an infinite number of circles so ...

Nonperiodic tilings exhibit a remarkable range of "order types" between periodic and amorphous. The six tilings shown on these pages are a representative sample. How can we ...

A self-similar tile is a two-dimensional set that satisfies a scaling identity. A square, for example, may be covered by four scaled copies of itself; this allows us to ...